Page Table Size and Entries - 11.3.1 | 11. Lecture – 28: Paging and Segmentation | Computer Organisation and Architecture - Vol 3
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Understanding Virtual Addresses

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0:00
Teacher
Teacher

Welcome everyone! Today we'll discuss virtual addresses in a paging system. Can anyone tell me how a virtual address is structured?

Student 1
Student 1

Isn't it divided into a page offset and a virtual page number?

Teacher
Teacher

Exactly! The virtual address consists of these two parts. The page offset specifies the exact location within a page, while the virtual page number helps us locate the page in the page table. Remember: 'VPN' for Virtual Page Number and 'PO' for Page Offset.

Student 2
Student 2

So, what happens if the valid bit in the page table entry is 0?

Teacher
Teacher

Great question! If the valid bit is 0, that means the specific page isn't in physical memory and needs to be fetched from disk.

Student 3
Student 3

How do we know where to fetch it from?

Teacher
Teacher

The page table stores both the physical page frame number and potentially the disk address for that page. So we can trace back to the secondary storage if necessary.

Student 4
Student 4

Can you give us an acronym to remember this?

Teacher
Teacher

Sure! Let's use 'PVD' for 'Page Validity Decision' — it will help you recall the valid bit check and its implications.

Teacher
Teacher

To summarize, virtual addresses are composed of a virtual page number and page offset, and the valid bit determines if the page exists in physical memory.

Structure of Page Tables

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Teacher
Teacher

Now let's get into the structure of page tables. If we have a 32-bit address space and a page size of 4KB, how many entries would our page table need?

Student 1
Student 1

I think it's 1 million entries due to the bits we use for addressing?

Teacher
Teacher

Correct! We have 32 bits, out of which 12 bits represent the page offset. That leaves us with 20 bits for page entries, leading to 2^20, or 1 million entries.

Student 2
Student 2

And if each entry is 4 bytes, that would total to...?

Teacher
Teacher

Yes! 4MB for one page table. Now, if there are hundreds of processes, this memory requirement can quickly grow out of control!

Student 3
Student 3

How do we manage that size?

Teacher
Teacher

That’s where the page table length register comes into play. It tells the system the currently utilized size of the page table, allowing it to grow and shrink as needed.

Student 4
Student 4

Can we remember PTLR as a 'Pointer To Length of the Register'?

Teacher
Teacher

That's an excellent mnemonic! Remembering PTLR as 'Pointer To Length of the Register' captures its purpose well.

Teacher
Teacher

In summary, entries in the page table are derived from the address space structure, and we introduced the PTLR to help optimize memory use.

Handling Large Page Tables

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Teacher
Teacher

Now, let’s discuss how we manage large page tables more effectively.

Student 1
Student 1

What happens if the virtual memory is scattered across the address space?

Teacher
Teacher

Good observation! When virtual memory is scattered, even with a page table length register, we may not utilize memory efficiently.

Student 2
Student 2

Is there a solution for that?

Teacher
Teacher

Indeed! We can implement a segment-based paging system where each module has a dedicated segment that contains its page table.

Student 3
Student 3

So, we will be dealing with multiple page tables?

Teacher
Teacher

Exactly! By having a separate page table for each segment, we can map logically related items together, reducing fragmentation and optimizing memory usage.

Student 4
Student 4

Got it. Can we summarize that last bit with an acronym?

Teacher
Teacher

Sure! 'SPL' for 'Segmented Page Lookup' works well here — it's a concise way to remember the benefit of segment-based paging.

Teacher
Teacher

To conclude, we've examined how to effectively manage large page tables through segmentation.

Virtual Address Breakdown

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Teacher
Teacher

Finally, let’s break down how virtual addresses are constructed in a segmented paging system.

Student 1
Student 1

So, how does that break down compared to simple paging?

Teacher
Teacher

In segmented paging, a virtual address consists of three parts: segment number, page number, and page offset.

Student 2
Student 2

How exactly do we use each of those parts?

Teacher
Teacher

The segment number points to the segment table entry, which provides the starting address of the page table. Then the page number is used to index into that page table, similar to what we did before.

Student 3
Student 3

And the page offset?

Teacher
Teacher

The page offset then navigates within the physical page frame to locate the exact data needed.

Student 4
Student 4

Could we create a mnemonic for this?

Teacher
Teacher

Absolutely! Let’s use 'SPP-O' for 'Segment-Page-Offset' — it’s a memorable way to recall the components of a virtual address in segmented paging.

Teacher
Teacher

In conclusion, understanding the structure of virtual addresses in this manner simplifies memory management in a segmented paging system.

Introduction & Overview

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Quick Overview

This section discusses the structure and size of page tables in virtual memory systems, specifically how addresses are mapped between virtual and physical memory.

Standard

The section focuses on the organization of the page table, explaining how virtual addresses are translated to physical addresses using page tables and the implications of page table size on memory management. It highlights the importance of maintaining distinct page tables for physical memory and secondary storage and introduces strategies to manage large page tables effectively.

Detailed

Detailed Summary

This section explains the fundamental concepts underlying page tables in virtual memory systems. Virtual addresses generated by processes are divided into two parts: the virtual page number and the page offset. The page table maps these virtual addresses to their corresponding physical memory addresses or secondary storage addresses. Each process has its page table, indexed by the virtual page number, which contains entries pointing to either a physical frame (if the valid bit is 1) or a location on disk (if the valid bit is 0).

In a hypothetical 32-bit architecture with a 4KB page size, the chapter illustrates that a page table can require significant memory space, potentially up to 4MB per process, leading to large aggregate memory consumption as multiple processes are managed concurrently. To mitigate this, the use of a page table length register (PTLR) is discussed, allowing for dynamic resizing of the page table based on the current needs of the process.

The text also proposes a structure allowing multiple segments for processes, where each segment has its page table identified by a segment number. This restructuring facilitates an efficient mapping strategy by addressing issues associated with needing scalable virtual address spaces that can grow in two directions.

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Understanding Page Tables

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The size of page tables can be huge. For a 32-bit computer with a page size of 4 KB, the page table would contain 1 million entries. The address is 32 bits, from which 12 bits are used for the page offset, indicating that the page size is 2^12 (4 KB). Thus, the remaining 20 bits are used for indexing page table entries.

Detailed Explanation

A page table stores the mapping between virtual addresses and physical memory addresses. Given that a 32-bit address space allows for a maximum of 2^32 addresses, and with each page being 4 KB, we can only use 20 bits to index the virtual pages (2^20 equals 1 million). This helps understand how the computer tracks where virtual memory resides in physical memory.

Examples & Analogies

Think of the page table like a directory in a huge library. Each entry in the directory represents a book's location. Just like a library can have a wide range of books but might only have a limited number of shelves, the page table can manage many virtual addresses but is constrained by the physical memory's capacity.

Memory Consumption by Page Tables

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Each page table entry is typically 4 bytes. Therefore, a page table for one process would require 4 MB of physical memory. If there are hundreds of processes running concurrently, the memory usage for page tables could be enormous (e.g., 100 processes would require 400 MB of memory).

Detailed Explanation

The size of each page table entry (4 bytes) contributes significantly to the overall memory footprint. When multiple processes are running, each with its page table, memory consumption can become substantial. This highlights the need for efficient memory management strategies in operating systems.

Examples & Analogies

Imagine if each email account has to maintain a separate contact list. If you have 100 email accounts, each containing 1,000 contacts, the combined list could use a lot of storage. Similarly, multiple processes with their own page tables can exhaust memory resources quickly.

Managing Page Table Growth

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To manage the size of page tables, techniques are implemented such as using a Page Table Length Register (PTLR) to specify the current size of the virtual memory space that a process is taking. As the virtual memory of a process can grow over time, the PTLR allows flexibility in adjusting the page table size.

Detailed Explanation

The PTLR serves as a pointer to the valid range of the page entries in a page table. This means that as a process requires more memory, the size of its page table can be expanded dynamically, preventing waste of memory for unused spaces.

Examples & Analogies

Consider a restaurant that adjusts the number of tables based on the number of reservations. Instead of setting up 100 tables when only 20 are needed, it dynamically manages the number of tables it sets up, saving space and resources.

Address Space Growth and Page Table Strategies

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As virtual memory grows, new entries must be added to the page table and the PTLR updated. The virtual address space typically consists of a dedicated code segment, static data segment, and a dynamic data segment that may require more page table entries over time.

Detailed Explanation

When a process begins, its memory holding structure usually remains constant; however, as more functions or data are accessed, it needs more memory. The server keeps adjusting the page table size through the PTLR, showing how it manages to accommodate growth efficiently without unnecessary pre-allocation.

Examples & Analogies

Think of a smartphone that initially supports a limited number of apps. As users download more apps, the operating system can dynamically allocate more memory space, ensuring performance is maintained while allowing for growth, similar to how page tables adapt to the growing needs of a process.

Definitions & Key Concepts

Learn essential terms and foundational ideas that form the basis of the topic.

Key Concepts

  • Virtual Page Number and Page Offset: Essential components of virtual addresses that facilitate memory mapping.

  • Page Table Size: The significant memory requirement for page tables, especially with multiple processes.

  • Segmentation: An advanced method of memory management that alleviates scatter in memory addressing.

  • Page Table Length Register: A key tool for dynamically sizing page tables according to the needs of processes.

Examples & Real-Life Applications

See how the concepts apply in real-world scenarios to understand their practical implications.

Examples

  • In a 32-bit system with a 4KB page size, up to 1 million page table entries may be needed.

  • Each entry in the page table could typically require 4 bytes, leading to a total size of approximately 4MB for each page table.

Memory Aids

Use mnemonics, acronyms, or visual cues to help remember key information more easily.

🎵 Rhymes Time

  • In pages we trust, we find our way, / Virtual relates to both night and day, / With offsets and numbers so clear to see, / Valid bits guide like a key.

📖 Fascinating Stories

  • Imagine a library where each book (page) has a specific row (page offset) and shelf number (virtual page), and a librarian (page table) helps you find any book quickly. Valid books are on the shelf, but the unavailable ones are in the storage.

🧠 Other Memory Gems

  • Use 'VPN for Virtual Page Number' and 'PO for Page Offset' to help remember the parts of the virtual memory address.

🎯 Super Acronyms

'PTLR' is short for 'Page Table Length Register,' helping you keep track of their size.

Flash Cards

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Glossary of Terms

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  • Term: Virtual Memory

    Definition:

    A memory management capability that provides an 'idealized abstraction of the storage resources that are actually available on a computer.'

  • Term: Page Table

    Definition:

    A data structure used to map virtual addresses to physical addresses.

  • Term: Valid Bit

    Definition:

    A bit in the page table entry indicating whether the page is currently loaded in physical memory.

  • Term: Page Table Length Register (PTLR)

    Definition:

    A register that indicates the current size of the page table in use by a process.

  • Term: Segmented Paging

    Definition:

    A memory management technique that combines paging and segmentation for better organization of memory.